What is the Least Common Multiple of 93474 and 93483?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 93474 and 93483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93474 and 93483, than apply into the LCM equation.

GCF(93474,93483) = 9
LCM(93474,93483) = ( 93474 × 93483) / 9
LCM(93474,93483) = 8738229942 / 9
LCM(93474,93483) = 970914438

Least Common Multiple (LCM) of 93474 and 93483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93474 and 93483. First we will calculate the prime factors of 93474 and 93483.

Prime Factorization of 93474

Prime Factorization of 93483

Now multiplying the highest exponent prime factors to calculate the LCM of 93474 and 93483.

LCM(93474,93483) = 2¹ × 3⁴ × 577¹ × 13¹ × 17¹ × 47¹
LCM(93474,93483) = 970914438